TERM: A Consistency-Based Foundation for Emergent Geometry and Dynamics

This work presents TERM, a minimal and self-consistent variational framework in which difference fields A(x) are regulated by a local operator Θ(x). The theory generates discrete excitation spectra, effective mass, binding effects, and interaction-induced mass shifts without invoking canonical quantization or fundamental force postulates. The Hessian structure yields quantum-field-like mode spectra, while the slowly varying regulator regime admits an effective geometric interpretation. The framework is internally consistent, minimal, and explicitly falsifiable, and recovers the Klein–Gordon limit as a special case. This paper provides a compact formulation of TERM suitable for citation and further development.